I think I have a solution for the Democrats mangling the investigative proceedings.https://www.gpo.gov/fdsys/pkg/USCODE-2009-title18/html/USCODE-2009-title18.htm
§1505. Obstruction of proceedings before departments, agencies, and committees
Whoever, with intent to avoid, evade, prevent, or obstruct compliance, in whole or in part, with any civil investigative demand duly and properly made under the Antitrust Civil Process Act, willfully withholds, misrepresents, removes from any place, conceals, covers up, destroys, mutilates, alters, or by other means falsifies any documentary material, answers to written interrogatories, or oral testimony, which is the subject of such demand; or attempts to do so or solicits another to do so; or
Whoever corruptly, or by threats or force, or by any threatening letter or communication influences, obstructs, or impedes or endeavors to influence, obstruct, or impede the due and proper administration of the law under which any pending proceeding is being had before any department or agency of the United States, or the due and proper exercise of the power of inquiry under which any inquiry or investigation is being had by either House, or any committee of either House or any joint committee of the Congress—
Shall be fined under this title, imprisoned not more than 5 years or, if the offense involves international or domestic terrorism (as defined in section 2331), imprisoned not more than 8 years, or both.
The penalties available are important, because they mean that this qualifies as a felony under the normal rules used to identify a felony in US Federal law, which means that the limited immunity to arrest of Members of Congress during sessions does not apply. It would be entirely proper for the Attorney General to initiate a criminal investigation into the actions of those Members who improperly abused the system to attempt to block the committee from questioning the witness. It would also be entirely appropriate for the Committee on Ethics to investigate their behavior, which has the potential to lead to penalties up to expulsion from their Seats.